Application of Luenberger's observer in RFPT-based adaptive control - 2014; A case study
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Tartalom: http://dx.doi.org/10.1109/CINTI.2013.6705223
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published

Type = Conference or Workshop Item
Cím:
Application of Luenberger's observer in RFPT-based adaptive control - 2014; A case study
Létrehozó:
Kosi, Krisztian
Tar, Jozsef K.
Haidegger, Tamas
Dátum:
2013
Téma:
TK Electrical engineering. Electronics Nuclear engineering / elektrotechnika, elektronika, atomtechnika
Tartalmi leírás:
The traditional way of thinking in controller design
prefers the use of the ?state space representation? introduced by
R. Kalman in the early sixties of the past century. This system
description is in close relationship with linear or at least partly
linear system in which the linear part can be used in forming
a quadratic Lyapunov function in the stability proof. In the
standard model of such systems it is assumed that the state of the
system is not directly observable, only certain linear functions of
the state variable are directly measurable. Since such approaches
introduce certain feedback gains for the state variable, observers
are needed that calculate the estimation of the state variable
on the basis of directly measurable quantities. The Luenberger
observers solve this task via introducing a differential equation
for the estimated state.
In order to avoid the mathematical difficulties of Lya-
punov?s ?direct method? the ?
Robust Fixed Point Transforma-
tions (RFPT)
? were introduced in a novel adaptive technique
that instead of the state space representation directly utilized
the available approximate model of the system to estimate its
?response function?. In this approach it was assumed that the
system?s response is directly observable and an iterative sequence
was generated by the use of ?
Banach?s Fixed Point Theorem
? that
converged to an appropriate deformation of the rough initial
model to obtain precise trajectory tracking.
In the present paper it is shown that the Luenberger observers
and the RFPT-based mathod can be combined in a more con-
ventional approach of the adaptive controllers that are designed
on the basis of finding appropriate feedback gains. Illustrative
simulation examples are presented to substantiate this statement.
Típus:
Conference or Workshop Item
PeerReviewed
Formátum:
text
Azonosító:
Kosi, Krisztian and Tar, Jozsef K. and Haidegger, Tamas (2013) Application of Luenberger's observer in RFPT-based adaptive control - 2014; A case study. In: IEEE Intl. Symp. on Computational Intelligence and Informatics (CINTI), November 19-21, 2013, Budapest.
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